Who Cites addprime? | |
addprime | Def (t)' == term_iterate(x.x';x.x';op.op;f.f;P.trace(P);a,b. a b;t) |
Thm* t:Term. (t)' Term | |
tapp | Def t1 t2 == tree_node( < t1, t2 > ) |
Thm* t1,t2:Term. t1 t2 Term | |
ttrace | Def trace(l) == tree_leaf(ts_trace(l)) |
Thm* l:Label. trace(l) Term | |
tfvar | Def l == tree_leaf(ts_fvar(l)) |
Thm* l:Label. l Term | |
topr | Def f == tree_leaf(ts_op(f)) |
Thm* f:Label. f Term | |
tpvar | Def l' == tree_leaf(ts_pvar(l)) |
Thm* l:Label. l' Term | |
term_iterate | Def term_iterate(v;p;op;f;tr;a;t) == t_iterate(x.ts_case(x)var(a)= > v(a)var'(b)= > p(b)opr(c)= > op(c)fvar(d)= > f(d)trace(P)= > tr(P)end_ts_case ;a;t) |
Thm* A:Type, v,op,f,p,tr:(LabelA), a:(AAA), t:Term. term_iterate(v;p;op;f;tr;a;t) A | |
node | Def tree_node( < x, y > ) == tree_node( < x,y > ) |
Thm* E:Type, x,y:Tree(E). tree_node( < x, y > ) Tree(E) | |
ts_trace | Def ts_trace(x) == inr(inr(inr(inr(x)))) |
Thm* x:Label. ts_trace(x) ts() | |
tree_leaf | Def tree_leaf(x) == inl(x) |
Thm* E,T:Type, x:E. tree_leaf(x) tree_con(E;T) | |
Thm* E:Type, x:E. tree_leaf(x) Tree(E) | |
ts_fvar | Def ts_fvar(x) == inr(inr(inr(inl(x)))) |
Thm* x:Label. ts_fvar(x) ts() | |
ts_op | Def ts_op(x) == inr(inr(inl(x))) |
Thm* x:Label. ts_op(x) ts() | |
ts_pvar | Def ts_pvar(x) == inr(inl(x)) |
Thm* x:Label. ts_pvar(x) ts() | |
ts_case | Def ts_case(x)var(a)= > v(a)var'(b)= > p(b)opr(f)= > op(f)fvar(x)= > f(x)trace(P)= > t(P)end_ts_case == Case(x) Case ts_var(a) = > v(a) Case ts_pvar(b) = > p(b) Case ts_op(f) = > op(f) Case ts_fvar(x) = > f(x) Case ts_trace(P) = > t(P) Default = > |
Thm* A:Type, v,op,f,p,t:(LabelA), x:ts(). ts_case(x)var(a)= > v(a)var'(b)= > p(b)opr(f)= > op(f)fvar(y)= > f(y)trace(P)= > t(P)end_ts_case A | |
t_iterate | Def t_iterate(l;n;t) == Case(t) Case x;y = > n(t_iterate(l;n;x),t_iterate(l;n;y)) Case tree_leaf(x) = > l(x) Default = > True (recursive) |
Thm* E,A:Type, l:(EA), n:(AAA), t:Tree(E). t_iterate(l;n;t) A | |
tree_node | Def tree_node(x) == inr(x) |
Thm* E,T:Type, x:(TT). tree_node(x) tree_con(E;T) | |
Thm* E:Type, x,y:Tree(E). tree_node( < x,y > ) Tree(E) | |
case_default | Def Default = > body(value,value) == body |
case_ts_trace | Def Case ts_trace(x) = > body(x) cont(x1,z) == (x1.inr(x2) = > (x1.inr(x2) = > (x1.inr(x2) = > (x1.inr(x2) = > body(hd([x2 / tl(x1)])) cont(hd(x1),z))([x2 / tl(x1)]) cont(hd(x1),z))([x2 / tl(x1)]) cont(hd(x1),z))([x2 / tl(x1)]) cont(hd(x1),z))([x1]) |
case_ts_fvar | Def Case ts_fvar(x) = > body(x) cont(x1,z) == (x1.inr(x2) = > (x1.inr(x2) = > (x1.inr(x2) = > (x1.inl(x2) = > body(hd([x2 / tl(x1)])) cont(hd(x1),z))([x2 / tl(x1)]) cont(hd(x1),z))([x2 / tl(x1)]) cont(hd(x1),z))([x2 / tl(x1)]) cont(hd(x1),z))([x1]) |
case_ts_op | Def Case ts_op(x) = > body(x) cont(x1,z) == (x1.inr(x2) = > (x1.inr(x2) = > (x1.inl(x2) = > body(hd([x2 / tl(x1)])) cont(hd(x1),z))([x2 / tl(x1)]) cont(hd(x1),z))([x2 / tl(x1)]) cont(hd(x1),z))([x1]) |
case_ts_pvar | Def Case ts_pvar(x) = > body(x) cont(x1,z) == (x1.inr(x2) = > (x1.inl(x2) = > body(hd([x2 / tl(x1)])) cont(hd(x1),z))([x2 / tl(x1)]) cont(hd(x1),z))([x1]) |
case_ts_var | Def Case ts_var(x) = > body(x) cont(x1,z) == InjCase(x1; x2. body(x2); _. cont(z,z)) |
case | Def Case(value) body == body(value,value) |
case_tree_leaf | Def Case tree_leaf(x) = > body(x) cont(x1,z) == InjCase(x1; x2. body(x2); _. cont(z,z)) |
case_node | Def Case x;y = > body(x;y) cont(x1,z) == InjCase(x1; _. cont(z,z); x2. x2/x3,x2@0. body(x3;x2@0)) |
hd | Def hd(l) == Case of l; nil "?" ; h.t h |
Thm* A:Type, l:A List. ||l||1 hd(l) A | |
Thm* A:Type, l:A List. hd(l) A | |
tl | Def tl(l) == Case of l; nil nil ; h.t t |
Thm* A:Type, l:A List. tl(l) A List | |
case_inr | Def inr(x) = > body(x) cont(value,contvalue) == InjCase(value; _. cont(contvalue,contvalue); x. body(x)) |
case_inl | Def inl(x) = > body(x) cont(value,contvalue) == InjCase(value; x. body(x); _. cont(contvalue,contvalue)) |
Syntax: | (t)' | has structure: | addprime(t) |
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